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What is the value of ((4^3)^2 \div 16^2)?
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Answer and explanation
Correct answer: 16
Using the exponent rule ((a^m)^n=a^{mn}), (4^3)^2=4^6. Also, 16^2=(4^2)^2=4^4. Therefore, 4^6 ÷ 4^4=4^2=16, so option B is correct. Exam tip: when dividing powers with the same base, subtract their exponents.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
Using the exponent rule ((a^m)^n=a^{mn}), (4^3)^2=4^6. Also, 16^2=(4^2)^2=4^4. Therefore, 4^6 ÷ 4^4=4^2=16, so option B is correct. Exam tip: when dividing powers with the same base, subtract their exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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